Answer:
85.1 ft
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
We solve using the Trigonometric function of Cosine
cos y = adjacent/hypotenuse
y = angle = 20°
Adjacent = 80 ft
Hypotenuse = ?
cos 20 = 80/Hypotenuse
Hypotenuse = 80/cos 20
x = 85.134221798 ft
Approximately = 85.1 ft
Length of the slide = 85.1 ft
Answer:
144
Step-by-step explanation:
angle A + angle B = 180 (supplementary angle)
A = 4B
4b+b=180
5b=180
Divide 5 on both sides to get b=36
180-36= measure of angle A
180-36=144
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
You need to add the second number and the answer to get your answer
A. 2
B.6
D.5
F.4
G. 3
Answer:
area (A) =(9x+108)unit^2
perimeter (P) =(2x+42) units
Step-by-step explanation:
area(A) =length(l) × breadth(b)
perimeter(P) =2(l+ b) {which is sum of all sides}
so, l = 7+x+5 = (x+12) units and b = 9 units
now, A=(x+12) × 9 units^2
=(9×x + 12×9 ) units^2
Therefore,
A =(9x+108)unit^2
next, P=2{(x+12)+9}
=2(x+21)
Hence,
P=(2x+42) units
